| Volume 15, Number 1, 2025, Pages - DOI：10.11948/JAAC-2024-0168 |
| A novel analytical method for time fractional convection-diffusion equation through clique polynomials of the cocktail party graph |
| Mine Aylin Bayrak,Ali Demir,Ahmet Büyük |
| Keywords:Fractional convection-diffusion equation Collocation points Clique polynomials \sep Residual power series method |
| Abstract: |
| This paper is devoted to providing a new approach to solve time fractional convection-diffusion equation (TFCDE) by utilizing Clique polynomials of the
Cocktail party graph and collocation points. The main advantage of this method is converting the TFCDE into a system of ordinary fractional differential and algebraic equations.
At this stage, Residual power series method (RPSM) is used to determine the unknown functions of the obtained system. Convergence analysis is given to substantiate the importance of the
suggested method. Two numerical examples are presented to illustrate the implementation and effectiveness of the proposed method. |
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